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Finding the Third Proportional to 189,534 and 295,704

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Solution

The third proportional to 189,534 and 295,704 is: 461,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,534 : 295,704 = 295,704 : x
  2. Step 2: Convert to fraction form
    189,534/295,704 = 295,704/x
  3. Step 3: Cross multiply
    189,534x = 295,704 × 295,704
  4. Step 4: Simplify right side
    189,534x = 87,440,855,616
  5. Step 5: Solve for x
    x = 87,440,855,616/189,534
  6. Step 6: Final answer
    x = 461,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.